99338400 has 432 divisors, whose sum is σ = 420848064. Its totient is φ = 22394880.

The previous prime is 99338389. The next prime is 99338417. The reversal of 99338400 is 483399.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360764 + ... + 1360836.

Almost surely, 2^99338400 is an apocalyptic number.

99338400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210424032).

99338400 is an abundant number, since it is smaller than the sum of its proper divisors (321509664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99338400 is a wasteful number, since it uses less digits than its factorization.

99338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99338400 is about 9966.8651039331. The cubic root of 99338400 is about 463.1329925353.

It can be divided in two parts, 993 and 38400, that added together give a palindrome (39393).

The spelling of 99338400 in words is "ninety-nine million, three hundred thirty-eight thousand, four hundred".